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Finding the Fourth Proportional to 73.70, 111.06 and 71.27

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Solution

The fourth proportional to 73.70, 111.06 and 71.27 is: 107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.70 : 111.06 = 71.27 : x
  2. Step 2: Convert to fraction form
    73.70/111.06 = 71.27/x
  3. Step 3: Cross multiply
    73.70x = 111.06 × 71.27
  4. Step 4: Simplify right side
    73.70x = 7,915.25
  5. Step 5: Solve for x
    x = 7,915.25/73.70
  6. Step 6: Final answer
    x = 107.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.